what-does-the-definite-integral-from-t1-to-t2-at-dt-represent-physically

Question

What does the definite integral ∫t1t2a(t) dt\int_{t1}^{t2}a\left(t\right)\,\mathrm{d}t represent physically?

Accepted Answer

The change in velocity between t1t1 and t2t2

Answer

The displacement between t1t1 and t2t2

Answer

The instantaneous velocity at t2t2

Answer

The average acceleration over all time

What does the definite integral ∫t1t2a(t)dt\(\int\)_{t1}^{t2}a\(\left\)(t\(\right\))\,\(\mathrm{d}\)t represent physically?